Six friends are going to a consert. Their tickets total

Y = x + 2<br> y = 3x - 4

exis [7]

Answer:

x=3; y=5

Step-by-step explanation:

y=x+2

y=3x-4

so x+2=3x-4

2x=6

x=3

because y=x+2

x=3

so y=3+2

=5

8 0

3 years ago

Percentage of 115/192

GuDViN [60]

60% is the answer bebe :)

7 0

3 years ago

Question 4) Identify the surface area of the composite figure.

nignag [31]

The surface area of the composite figure is 714 sq. in.

<h3>What is formula of surface area of cube ?</h3>

Let, a be the edge of the cube.

Then, surface area of the cube = 6a² square unit

<h3>What is formula of surface area of cuboid ?</h3>

Let, length of the cuboid = l unit

Width of the cuboid = w unit

Height of the cuboid = h unit

Then, surface area of the cuboid = 2(lw+lh+hw) square unit

<h3>What is the required surface area ?</h3>

Given, edge of cube = 4 in.

∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.

Now, given, length of cuboid = 15 in.

Width of the cuboid = 10 in. & height of the cuboid = 7 in.

∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.

= 2{150+105+70} sq. in.

= 2{325} sq. in. = 650 sq. in.

Here, we have to find the surface area of the composite figure.

We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.

So, we have to subtract 2(4×4) sq. in. = 32 sq. in.

∴ The surface area of the composite figure = (650+96-32) sq. in.

= 714 sq. in.

Learn more about composite figure here :

brainly.com/question/27915109

#SPJ10

5 0

2 years ago

Round 4,929 to the place value of the underlined digit.

Lostsunrise [7]

Raising 4,929 to the place value of the underlined digit will give a value of 4930.

<h3>What is rounding up of numbers?</h3>

It should be noted that rounding up of numbers simply means raising the number to the nearest ten, hundred, or thousand.

In this case let's assume that the underlined number is 2. Therefore, raising 4929 will give 4940. It should be noted that the number beside it is more than 5. Therefore, 1 will be added to 2 making 3. The new number is 4930.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

6 0

1 year ago

A car company says that the mean gas mileage for its luxury sedan is at least 24 miles per gallon (mpg). You believe the claim

Anastaziya [24]

Answer:

$t=\frac{23-24}{\frac{5}{\sqrt{5}}}=-0.447$

$p_v =P(t_{(4)}$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't reject the claim that the true mean is at least 24 mpg (null hypothesis) at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$s=5$ represent the sample standard deviation for the sample

$n=5$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 24 (rejecting the claim proposed), the system of hypothesis would be:

Null hypothesis: $\mu \geq 24$

Alternative hypothesis: $\mu < 24$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{23-24}{\frac{5}{\sqrt{5}}}=-0.447$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=5-1=4$

Since is a one sided test the p value would be:

$p_v =P(t_{(4)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't reject the claim that the true mean is at least 24 mpg at 1% of signficance.

5 0

3 years ago